Question

How to solve |-7n+1| / 9 =2

Answer 1

n = -17/7 and n = 19/7

Explanation:

|-7n + 1|/9 = 2

First multiply both sides by 9 to get rid of the fraction on the left...

|-7n + 1| = 18

When solving absolute value you set up 2 equations (since |x| = x and |-x| = x)

We have

-7n + 1 = 18

and

-7n + 1 = -18

Now solve both for n...

-7n + 1 = 18

-7n = 17

n = -17/7

-7n + 1 = -18

-7n = -19

n = 19/7